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Marrrta [24]
2 years ago
5

In most cases, letters of reconmendation are required for addmission to?

Physics
1 answer:
kykrilka [37]2 years ago
8 0

Answer:

Get your recommenders to mention diverse achievements. ...

Help your recommenders with relevant info. ...

The letter should always include examples of things you did. ...

The letter should show how you improved over time. ...

The tone of the letter should not be too dry.

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2 years ago
4 identical coins of mass M and radius R are placed in a square, so the center of each coin lies on a corner of the square. The
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Answer:

I_{total} = 10 M R²

Explanation:

The concept of moment of inertia in rotational motion is equivalent to the concept of inertial mass for linear motion. The moment of inertia is defined

     I = ∫ r² dm

For body with high symmetry it is tabulated, in these we can simulate them by a solid disk, with moment of inertia for an axis that stops at its center

       I = ½ M R²

As you hear they ask for the moment of energy with respect to an axis parallel to the axis of the disk, we can use the theorem of parallel axes

        I = I_{cm} + M D²

Where I_{cm} is the moment of inertia of the disk, M is the total mass of the system and D is the distance from the center of mass to the new axis

Let's apply these considerations to our problem

The moment of inertia of the four discs is

    I_{cm} = I

    I_{cm} = ½ M R²

     

For distance D, let's use the Pythagorean Theorem. As they indicate that the coins are touched the length of the square is L = 2R, the distance from any spine to the center of the block is

         D² = (R² + R²)

         D² = R² 2

Let's calculate the moment of inertia of a disk with respect to the axis that passes through the center of the square

     I = ½ M R2 + M R² 2

     I = 5/2 M R²

This is the moment of inertia of a disc as we have four discs and the moment of inertia is a scalar is additive, so

   I_{total} = 4 I

   I_{total} = 4 5/2 M R²

    I_{total} = 10 M R²

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